11651753040 has 160 divisors (see below), whose sum is σ = 38069230080. Its totient is φ = 2939908608.

The previous prime is 11651753039. The next prime is 11651753083. The reversal of 11651753040 is 4035715611.

It is a junction number, because it is equal to n+sod(n) for n = 11651752992 and 11651753010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6761619 + ... + 6763341.

It is an arithmetic number, because the mean of its divisors is an integer number (237932688).

Almost surely, 2^11651753040 is an apocalyptic number.

11651753040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11651753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034615040).

11651753040 is an abundant number, since it is smaller than the sum of its proper divisors (26417477040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11651753040 is a wasteful number, since it uses less digits than its factorization.

11651753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 11651753040 in words is "eleven billion, six hundred fifty-one million, seven hundred fifty-three thousand, forty".